Humans have survived in orbit, exposed to full-strength cosmic rays, for much longer than for the trip to Mars. Improved shielding will become practical as nuclear powered spacecraft come into their heyday, which will be sooner than you think. I believe that within ten years, nuclear transporters will be receiving Starships for docking, then making the trip to Mars substantially faster than using Hohmann type orbits.
Once on Mars, life will be mostly underground due to the high background radiation. Most surface activity will be via teleoperated robots, though surface vehicles should have enough shielding to be safe. Short excursions in suits should be fine too, subject to a yearly radiation dose limit.
Life underground can be as luxurious as effectively unlimited energy and resources can provide. Very large underground habitats can eventually be excavated, perhaps with the assistance of nuclear explosions. Large lava caves are also known to exist, and may provide sites for early settlements. Regardless, radiation exposure will absolutely NOT be an issue.
Martian gravity, while fun, may pose physiological issues. It may be necessary to construct large centrifuges providing some higher effective gravity level for some portion of Martian's days. Perhaps sleeping in those conditions will be sufficient, more research is needed for sure. I do think a large orbital hotel with simulated gravity would be a great SpaceX project, both for space tourism and research. It's a shame NASA has dropped the ball on simulated gravity for decades...
At any rate, the future is incredibly bright, and the spirit of human exploration will live on! I'm excited for the first Starship orbital flight in a few minutes!!!